Physics Conservation of Matter Question

AI Thread Summary
To calculate the distance where the ball bounces after being launched from a ramp, the conservation of energy principle is applied, using the equations Eg = Ek and mgh = (1/2)mv^2. The height of the ramp "h" and the height of the bench "H" are known, allowing for the calculation of the ball's velocity without needing its mass. The discussion highlights the importance of considering both horizontal and vertical forces acting on the ball, suggesting the use of energy components. Ultimately, the user successfully resolves the problem with assistance from peers. Understanding the energy conservation approach is crucial for solving similar physics problems.
TigerLilly
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Homework Statement



Here is the set-up:
-there is a lab bench that is a certain height above the floor, "H"
-on the bench is a ramp that is a certain height above the bench top, "h"
-a ball is dropped on the ramp and then is "launched" in the air and eventually falls to bounch on the ground. How can I calculate the distance from the bench where the ball bounces first?

I have "h" and "H".



Homework Equations



To calculate the speed of the ball I did:

Eg=Ek
mgh=(1/2)mv^2


I'm unsure how to proceed from here to find the distance. I don't have the mass of the ball, the acceleration or any angle for the ramp.

Other possible equations I could use are:
W = ∆ K Ek
W = F d cos θ


The Attempt at a Solution



I know I have to take into account that there are 2 forces acting on the ball. The first is the horizontal force propelling the ball forward and the force of gravity pulling on the ball.

I was thinking of finding Ek and Eg again and add them together for Et to use in the work formula. But I don't have the mass of the ball.

I'm just unsure what to do from here.
 
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From what I understand, you don't need the m of the ball because:

mgh=1/2mv^2

therefore gh=1/2v^2
 
I think you have to break it up into components (x and y)

Sorry if this doesn't help
 
No it did actually. I was working on it with a friend and it helped a lot. I figured it out now. Thanks so much!
 
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